Chapter $2-$ Conversion and Reactor Sizing

$2.)(12$ points$).$ The exothermic reaction

AlongrightarrowB$+C$

was carried out adiabatically and the following data were recorded.

${?}_A^{{?}^{?}}$

$($a$)$ If $90\%$ conversion is required, what reactor configuration will give you the lowest total reactor volume? What are

the corresponding reactor type$($s$)$ and volume$($s$)?$

$($b$)$ How would you write an expression of $\frac{F_{A,0}}{-r_A}$ as a function of $x_A$

$($c$)$ The reactor experiences nonideal flow. You suggest that the reactor should be modeled as four equal volume

CSTRs in series. What is the volume of each reactor and what is the conversion between each CSTR if the overall

conversion of $A$ is $0\mathrm{.}90?$

$($d$)$ Qualitatively describe how you would go about making decisions on how to model nonideal flow in this reactor.

That is$,$ what data$/$information would you use to investigate the suitability of the four CSTRs in series or for axample

CSTR$-$PFR$-$CSTR configurations from above?